Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2022; 59(5): 891-909

Online first article August 1, 2022      Printed September 1, 2022

https://doi.org/10.4134/JKMS.j210701

Copyright © The Korean Mathematical Society.

Thomas algorithms for systems of fourth-order finite difference methods

Soyoon Bak, Philsu Kim, Sangbeom Park

Kyungpook National University; Kyungpook National University; Kyungpook National University

Abstract

Go to

The main objective of this paper is to develop a concrete inverse formula of the system induced by the fourth-order finite difference method for two-point boundary value problems with Robin boundary conditions. This inverse formula facilitates to make a fast algorithm for solving the problems. Our numerical results show the efficiency and accuracy of the proposed method, which is implemented by the Thomas algorithm.

Keywords: Finite difference method, inverse of tridiagonal matrix, Thomas algorithm, boundary value problem

MSC numbers: 65N06, 65F15, 65F50

Supported by: This research was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No.2020R1A2C1A01008506, No.2020R1A4A1018190). The Bak was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No.2020R1C1C1A01004139).

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +